A sailboat sets out from the U.S. side of Lake Erie

[HappyFlower]

Homework Statement

A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 90.0 km due north. The sailor, however, ends up 50.0 km due east of the starting point. (a) How far, and (b) in what direction must the sailor now sail to reach the original destination?

Homework Equations

The Attempt at a Solution

I just need help setting up the vector picture because I know the answer ends up in quadrant 2. There is a picture below I want to know if i am setting it up right.

 

[berkeman]

Homework Statement

A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 90.0 km due north. The sailor, however, ends up 50.0 km due east of the starting point. (a) How far, and (b) in what direction must the sailor now sail to reach the original destination?

Homework Equations

The Attempt at a Solution

I just need help setting up the vector picture because I know the answer ends up in quadrant 2. There is a picture below I want to know if i am setting it up right.

Looks like you started it right. So the final path will be the hypotenuse of that triangle, right?

 

[HappyFlower]

Looks like you started it right. So the final path will be the hypotenuse of that triangle, right?

the answer for b as 60.9 degrees north of west what i don't understand is the direction as it ends up in the second quadrant.

 

[berkeman]

the answer for b as 60.9 degrees north of west what i don't understand is the direction as it ends up in the second quadrant.

Draw your final vector from the current position of the boat at the right, up to the final position of the boat at the top. That vector points up and left...

 

[HappyFlower]

Draw your final vector from the current position of the boat at the right, up to the final position of the boat at the top. That vector points up and left...

Thanks i think i was overthinking it -,-.

 

[berkeman]